# Conductor of a numerical semigroup

## Definition

The **conductor** of a numerical semigroup is defined as the smallest nonnegative integer such that all nonnegative integers greater than or equal to it, are inside the numerical semigroup.

**conductor** of a numerical semigroup is defined as the smallest nonnegative integer such that all nonnegative integers greater than or equal to it, are inside the numerical semigroup.